Triangle ABC has vertices point A(-2,-2), point B(-4,-3), and point C (-2,-5). Find the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin.
A'= (__)
B'= (__)
C'= (__)
To find the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin, we multiply the x and y coordinates of each vertex by the scale factor.
For point A(-2, -2):
A' = (3*(-2), 3*(-2))
= (-6, -6)
For point B(-4, -3):
B' = (3*(-4), 3*(-3))
= (-12, -9)
For point C(-2, -5):
C' = (3*(-2), 3*(-5))
= (-6, -15)
Therefore, the coordinates of A', B', and C' are:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)